Finding the Third Proportional to 196,136,499,674 and 280,475,528,547

Step by Step Solution

1. Step 1: Write the proportion equation
   196,136,499,674 : 280,475,528,547 = 280,475,528,547 : x
2. Step 2: Convert to fraction form
   196,136,499,674/280,475,528,547 = 280,475,528,547/x
3. Step 3: Cross multiply
   196,136,499,674x = 280,475,528,547 × 280,475,528,547
4. Step 4: Simplify right side
   196,136,499,674x = 78,666,522,113,719,012,425,728
5. Step 5: Solve for x
   x = 78,666,522,113,719,012,425,728/196,136,499,674
6. Step 6: Final answer
   x = 401,080,483,461.63