Finding the Third Proportional to 85,413 and 133,602

Step by Step Solution

1. Step 1: Write the proportion equation
   85,413 : 133,602 = 133,602 : x
2. Step 2: Convert to fraction form
   85,413/133,602 = 133,602/x
3. Step 3: Cross multiply
   85,413x = 133,602 × 133,602
4. Step 4: Simplify right side
   85,413x = 17,849,494,404
5. Step 5: Solve for x
   x = 17,849,494,404/85,413
6. Step 6: Final answer
   x = 208,978.66