Finding the Third Proportional to 58,782 and 90,820

Step by Step Solution

1. Step 1: Write the proportion equation
   58,782 : 90,820 = 90,820 : x
2. Step 2: Convert to fraction form
   58,782/90,820 = 90,820/x
3. Step 3: Cross multiply
   58,782x = 90,820 × 90,820
4. Step 4: Simplify right side
   58,782x = 8,248,272,400
5. Step 5: Solve for x
   x = 8,248,272,400/58,782
6. Step 6: Final answer
   x = 140,319.70