Finding the Third Proportional to 61,092 and 92,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,092 : 92,119.50 = 92,119.50 : x
2. Step 2: Convert to fraction form
   61,092/92,119.50 = 92,119.50/x
3. Step 3: Cross multiply
   61,092x = 92,119.50 × 92,119.50
4. Step 4: Simplify right side
   61,092x = 8,486,002,280.25
5. Step 5: Solve for x
   x = 8,486,002,280.25/61,092
6. Step 6: Final answer
   x = 138,905.29