Finding the Third Proportional to 100,938.50 and 156,738

Step by Step Solution

1. Step 1: Write the proportion equation
   100,938.50 : 156,738 = 156,738 : x
2. Step 2: Convert to fraction form
   100,938.50/156,738 = 156,738/x
3. Step 3: Cross multiply
   100,938.50x = 156,738 × 156,738
4. Step 4: Simplify right side
   100,938.50x = 24,566,800,644
5. Step 5: Solve for x
   x = 24,566,800,644/100,938.50
6. Step 6: Final answer
   x = 243,383.85