Finding the Third Proportional to 58,419 and 83,254.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,419 : 83,254.50 = 83,254.50 : x
2. Step 2: Convert to fraction form
   58,419/83,254.50 = 83,254.50/x
3. Step 3: Cross multiply
   58,419x = 83,254.50 × 83,254.50
4. Step 4: Simplify right side
   58,419x = 6,931,311,770.25
5. Step 5: Solve for x
   x = 6,931,311,770.25/58,419
6. Step 6: Final answer
   x = 118,648.24