Finding the Third Proportional to 102,694.50 and 137,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,694.50 : 137,362.50 = 137,362.50 : x
2. Step 2: Convert to fraction form
   102,694.50/137,362.50 = 137,362.50/x
3. Step 3: Cross multiply
   102,694.50x = 137,362.50 × 137,362.50
4. Step 4: Simplify right side
   102,694.50x = 18,868,456,406.25
5. Step 5: Solve for x
   x = 18,868,456,406.25/102,694.50
6. Step 6: Final answer
   x = 183,733.86