Finding the Third Proportional to 134,470 and 208,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,470 : 208,207.50 = 208,207.50 : x
2. Step 2: Convert to fraction form
   134,470/208,207.50 = 208,207.50/x
3. Step 3: Cross multiply
   134,470x = 208,207.50 × 208,207.50
4. Step 4: Simplify right side
   134,470x = 43,350,363,056.25
5. Step 5: Solve for x
   x = 43,350,363,056.25/134,470
6. Step 6: Final answer
   x = 322,379.44