Finding the Third Proportional to 47,594 and 88,140

Step by Step Solution

1. Step 1: Write the proportion equation
   47,594 : 88,140 = 88,140 : x
2. Step 2: Convert to fraction form
   47,594/88,140 = 88,140/x
3. Step 3: Cross multiply
   47,594x = 88,140 × 88,140
4. Step 4: Simplify right side
   47,594x = 7,768,659,600
5. Step 5: Solve for x
   x = 7,768,659,600/47,594
6. Step 6: Final answer
   x = 163,227.71