Finding the Third Proportional to 58,092 and 89,748

Step by Step Solution

1. Step 1: Write the proportion equation
   58,092 : 89,748 = 89,748 : x
2. Step 2: Convert to fraction form
   58,092/89,748 = 89,748/x
3. Step 3: Cross multiply
   58,092x = 89,748 × 89,748
4. Step 4: Simplify right side
   58,092x = 8,054,703,504
5. Step 5: Solve for x
   x = 8,054,703,504/58,092
6. Step 6: Final answer
   x = 138,654.26