Finding the Third Proportional to 75,722.50 and 117,586

Step by Step Solution

1. Step 1: Write the proportion equation
   75,722.50 : 117,586 = 117,586 : x
2. Step 2: Convert to fraction form
   75,722.50/117,586 = 117,586/x
3. Step 3: Cross multiply
   75,722.50x = 117,586 × 117,586
4. Step 4: Simplify right side
   75,722.50x = 13,826,467,396
5. Step 5: Solve for x
   x = 13,826,467,396/75,722.50
6. Step 6: Final answer
   x = 182,593.91