Finding the Third Proportional to 85,414 and 133,603.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,414 : 133,603.50 = 133,603.50 : x
2. Step 2: Convert to fraction form
   85,414/133,603.50 = 133,603.50/x
3. Step 3: Cross multiply
   85,414x = 133,603.50 × 133,603.50
4. Step 4: Simplify right side
   85,414x = 17,849,895,212.25
5. Step 5: Solve for x
   x = 17,849,895,212.25/85,414
6. Step 6: Final answer
   x = 208,980.91