Finding the Third Proportional to 69,083 and 109,854

Step by Step Solution

1. Step 1: Write the proportion equation
   69,083 : 109,854 = 109,854 : x
2. Step 2: Convert to fraction form
   69,083/109,854 = 109,854/x
3. Step 3: Cross multiply
   69,083x = 109,854 × 109,854
4. Step 4: Simplify right side
   69,083x = 12,067,901,316
5. Step 5: Solve for x
   x = 12,067,901,316/69,083
6. Step 6: Final answer
   x = 174,686.99