Finding the Third Proportional to 102,303 and 137,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,303 : 137,614.50 = 137,614.50 : x
2. Step 2: Convert to fraction form
   102,303/137,614.50 = 137,614.50/x
3. Step 3: Cross multiply
   102,303x = 137,614.50 × 137,614.50
4. Step 4: Simplify right side
   102,303x = 18,937,750,610.25
5. Step 5: Solve for x
   x = 18,937,750,610.25/102,303
6. Step 6: Final answer
   x = 185,114.32