Finding the Third Proportional to 75,705.75 and 117,558

Step by Step Solution

1. Step 1: Write the proportion equation
   75,705.75 : 117,558 = 117,558 : x
2. Step 2: Convert to fraction form
   75,705.75/117,558 = 117,558/x
3. Step 3: Cross multiply
   75,705.75x = 117,558 × 117,558
4. Step 4: Simplify right side
   75,705.75x = 13,819,883,364
5. Step 5: Solve for x
   x = 13,819,883,364/75,705.75
6. Step 6: Final answer
   x = 182,547.34