Finding the Third Proportional to 156,864 and 322,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   156,864 : 322,072.50 = 322,072.50 : x
2. Step 2: Convert to fraction form
   156,864/322,072.50 = 322,072.50/x
3. Step 3: Cross multiply
   156,864x = 322,072.50 × 322,072.50
4. Step 4: Simplify right side
   156,864x = 103,730,695,256.25
5. Step 5: Solve for x
   x = 103,730,695,256.25/156,864
6. Step 6: Final answer
   x = 661,277.89