Finding the Third Proportional to 58,506 and 89,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,506 : 89,944.50 = 89,944.50 : x
2. Step 2: Convert to fraction form
   58,506/89,944.50 = 89,944.50/x
3. Step 3: Cross multiply
   58,506x = 89,944.50 × 89,944.50
4. Step 4: Simplify right side
   58,506x = 8,090,013,080.25
5. Step 5: Solve for x
   x = 8,090,013,080.25/58,506
6. Step 6: Final answer
   x = 138,276.64