Finding the Third Proportional to 75,850 and 111,034

Step by Step Solution

1. Step 1: Write the proportion equation
   75,850 : 111,034 = 111,034 : x
2. Step 2: Convert to fraction form
   75,850/111,034 = 111,034/x
3. Step 3: Cross multiply
   75,850x = 111,034 × 111,034
4. Step 4: Simplify right side
   75,850x = 12,328,549,156
5. Step 5: Solve for x
   x = 12,328,549,156/75,850
6. Step 6: Final answer
   x = 162,538.55