Finding the Third Proportional to 100,816 and 156,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,816 : 156,805.50 = 156,805.50 : x
2. Step 2: Convert to fraction form
   100,816/156,805.50 = 156,805.50/x
3. Step 3: Cross multiply
   100,816x = 156,805.50 × 156,805.50
4. Step 4: Simplify right side
   100,816x = 24,587,964,830.25
5. Step 5: Solve for x
   x = 24,587,964,830.25/100,816
6. Step 6: Final answer
   x = 243,889.51