Finding the Third Proportional to 77,921 and 116,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,921 : 116,849.50 = 116,849.50 : x
2. Step 2: Convert to fraction form
   77,921/116,849.50 = 116,849.50/x
3. Step 3: Cross multiply
   77,921x = 116,849.50 × 116,849.50
4. Step 4: Simplify right side
   77,921x = 13,653,805,650.25
5. Step 5: Solve for x
   x = 13,653,805,650.25/77,921
6. Step 6: Final answer
   x = 175,226.26