Finding the Third Proportional to 102,007 and 149,095.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,007 : 149,095.50 = 149,095.50 : x
2. Step 2: Convert to fraction form
   102,007/149,095.50 = 149,095.50/x
3. Step 3: Cross multiply
   102,007x = 149,095.50 × 149,095.50
4. Step 4: Simplify right side
   102,007x = 22,229,468,120.25
5. Step 5: Solve for x
   x = 22,229,468,120.25/102,007
6. Step 6: Final answer
   x = 217,921.01