Finding the Third Proportional to 82,097,250 and 178,483,972

Step by Step Solution

1. Step 1: Write the proportion equation
   82,097,250 : 178,483,972 = 178,483,972 : x
2. Step 2: Convert to fraction form
   82,097,250/178,483,972 = 178,483,972/x
3. Step 3: Cross multiply
   82,097,250x = 178,483,972 × 178,483,972
4. Step 4: Simplify right side
   82,097,250x = 31,856,528,260,896,784
5. Step 5: Solve for x
   x = 31,856,528,260,896,784/82,097,250
6. Step 6: Final answer
   x = 388,034,048.17