Finding the Third Proportional to 157,722.50 and 342,065

Step by Step Solution

1. Step 1: Write the proportion equation
   157,722.50 : 342,065 = 342,065 : x
2. Step 2: Convert to fraction form
   157,722.50/342,065 = 342,065/x
3. Step 3: Cross multiply
   157,722.50x = 342,065 × 342,065
4. Step 4: Simplify right side
   157,722.50x = 117,008,464,225
5. Step 5: Solve for x
   x = 117,008,464,225/157,722.50
6. Step 6: Final answer
   x = 741,862.86