Finding the Third Proportional to 72,090 and 113,643

Step by Step Solution

1. Step 1: Write the proportion equation
   72,090 : 113,643 = 113,643 : x
2. Step 2: Convert to fraction form
   72,090/113,643 = 113,643/x
3. Step 3: Cross multiply
   72,090x = 113,643 × 113,643
4. Step 4: Simplify right side
   72,090x = 12,914,731,449
5. Step 5: Solve for x
   x = 12,914,731,449/72,090
6. Step 6: Final answer
   x = 179,147.34