Finding the Third Proportional to 76,762 and 112,947

Step by Step Solution

1. Step 1: Write the proportion equation
   76,762 : 112,947 = 112,947 : x
2. Step 2: Convert to fraction form
   76,762/112,947 = 112,947/x
3. Step 3: Cross multiply
   76,762x = 112,947 × 112,947
4. Step 4: Simplify right side
   76,762x = 12,757,024,809
5. Step 5: Solve for x
   x = 12,757,024,809/76,762
6. Step 6: Final answer
   x = 166,189.32