Finding the Third Proportional to 77,931 and 116,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,931 : 116,986.50 = 116,986.50 : x
2. Step 2: Convert to fraction form
   77,931/116,986.50 = 116,986.50/x
3. Step 3: Cross multiply
   77,931x = 116,986.50 × 116,986.50
4. Step 4: Simplify right side
   77,931x = 13,685,841,182.25
5. Step 5: Solve for x
   x = 13,685,841,182.25/77,931
6. Step 6: Final answer
   x = 175,614.85