Finding the Third Proportional to 75,937.50 and 117,882

Step by Step Solution

1. Step 1: Write the proportion equation
   75,937.50 : 117,882 = 117,882 : x
2. Step 2: Convert to fraction form
   75,937.50/117,882 = 117,882/x
3. Step 3: Cross multiply
   75,937.50x = 117,882 × 117,882
4. Step 4: Simplify right side
   75,937.50x = 13,896,165,924
5. Step 5: Solve for x
   x = 13,896,165,924/75,937.50
6. Step 6: Final answer
   x = 182,994.78