Finding the Third Proportional to 75,725.50 and 117,590

Step by Step Solution

1. Step 1: Write the proportion equation
   75,725.50 : 117,590 = 117,590 : x
2. Step 2: Convert to fraction form
   75,725.50/117,590 = 117,590/x
3. Step 3: Cross multiply
   75,725.50x = 117,590 × 117,590
4. Step 4: Simplify right side
   75,725.50x = 13,827,408,100
5. Step 5: Solve for x
   x = 13,827,408,100/75,725.50
6. Step 6: Final answer
   x = 182,599.10