Finding the Third Proportional to 90,423 and 137,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,423 : 137,740.50 = 137,740.50 : x
2. Step 2: Convert to fraction form
   90,423/137,740.50 = 137,740.50/x
3. Step 3: Cross multiply
   90,423x = 137,740.50 × 137,740.50
4. Step 4: Simplify right side
   90,423x = 18,972,445,340.25
5. Step 5: Solve for x
   x = 18,972,445,340.25/90,423
6. Step 6: Final answer
   x = 209,818.80