Finding the Third Proportional to 90,592 and 149,726

Step by Step Solution

1. Step 1: Write the proportion equation
   90,592 : 149,726 = 149,726 : x
2. Step 2: Convert to fraction form
   90,592/149,726 = 149,726/x
3. Step 3: Cross multiply
   90,592x = 149,726 × 149,726
4. Step 4: Simplify right side
   90,592x = 22,417,875,076
5. Step 5: Solve for x
   x = 22,417,875,076/90,592
6. Step 6: Final answer
   x = 247,459.77