Finding the Third Proportional to 77,262 and 110,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,262 : 110,275.50 = 110,275.50 : x
2. Step 2: Convert to fraction form
   77,262/110,275.50 = 110,275.50/x
3. Step 3: Cross multiply
   77,262x = 110,275.50 × 110,275.50
4. Step 4: Simplify right side
   77,262x = 12,160,685,900.25
5. Step 5: Solve for x
   x = 12,160,685,900.25/77,262
6. Step 6: Final answer
   x = 157,395.43