Finding the Third Proportional to 156,640 and 252,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   156,640 : 252,213.50 = 252,213.50 : x
2. Step 2: Convert to fraction form
   156,640/252,213.50 = 252,213.50/x
3. Step 3: Cross multiply
   156,640x = 252,213.50 × 252,213.50
4. Step 4: Simplify right side
   156,640x = 63,611,649,582.25
5. Step 5: Solve for x
   x = 63,611,649,582.25/156,640
6. Step 6: Final answer
   x = 406,100.93