Finding the Third Proportional to 100,814 and 156,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,814 : 156,801.50 = 156,801.50 : x
2. Step 2: Convert to fraction form
   100,814/156,801.50 = 156,801.50/x
3. Step 3: Cross multiply
   100,814x = 156,801.50 × 156,801.50
4. Step 4: Simplify right side
   100,814x = 24,586,710,402.25
5. Step 5: Solve for x
   x = 24,586,710,402.25/100,814
6. Step 6: Final answer
   x = 243,881.91