Finding the Third Proportional to 156,632 and 333,784

Step by Step Solution

1. Step 1: Write the proportion equation
   156,632 : 333,784 = 333,784 : x
2. Step 2: Convert to fraction form
   156,632/333,784 = 333,784/x
3. Step 3: Cross multiply
   156,632x = 333,784 × 333,784
4. Step 4: Simplify right side
   156,632x = 111,411,758,656
5. Step 5: Solve for x
   x = 111,411,758,656/156,632
6. Step 6: Final answer
   x = 711,296.28