Finding the Third Proportional to 35,758 and 78,516

Step by Step Solution

1. Step 1: Write the proportion equation
   35,758 : 78,516 = 78,516 : x
2. Step 2: Convert to fraction form
   35,758/78,516 = 78,516/x
3. Step 3: Cross multiply
   35,758x = 78,516 × 78,516
4. Step 4: Simplify right side
   35,758x = 6,164,762,256
5. Step 5: Solve for x
   x = 6,164,762,256/35,758
6. Step 6: Final answer
   x = 172,402.32