Finding the Third Proportional to 312,061.50 and 456,984

Step by Step Solution

1. Step 1: Write the proportion equation
   312,061.50 : 456,984 = 456,984 : x
2. Step 2: Convert to fraction form
   312,061.50/456,984 = 456,984/x
3. Step 3: Cross multiply
   312,061.50x = 456,984 × 456,984
4. Step 4: Simplify right side
   312,061.50x = 208,834,376,256
5. Step 5: Solve for x
   x = 208,834,376,256/312,061.50
6. Step 6: Final answer
   x = 669,209.04