Finding the Third Proportional to 77,926 and 111,432

Step by Step Solution

1. Step 1: Write the proportion equation
   77,926 : 111,432 = 111,432 : x
2. Step 2: Convert to fraction form
   77,926/111,432 = 111,432/x
3. Step 3: Cross multiply
   77,926x = 111,432 × 111,432
4. Step 4: Simplify right side
   77,926x = 12,417,090,624
5. Step 5: Solve for x
   x = 12,417,090,624/77,926
6. Step 6: Final answer
   x = 159,344.64