Finding the Third Proportional to 137,848.50 and 187,084.69

Step by Step Solution

1. Step 1: Write the proportion equation
   137,848.50 : 187,084.69 = 187,084.69 : x
2. Step 2: Convert to fraction form
   137,848.50/187,084.69 = 187,084.69/x
3. Step 3: Cross multiply
   137,848.50x = 187,084.69 × 187,084.69
4. Step 4: Simplify right side
   137,848.50x = 35,000,680,296.97
5. Step 5: Solve for x
   x = 35,000,680,296.97/137,848.50
6. Step 6: Final answer
   x = 253,906.86