Finding the Third Proportional to 77,901 and 116,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,901 : 116,719.50 = 116,719.50 : x
2. Step 2: Convert to fraction form
   77,901/116,719.50 = 116,719.50/x
3. Step 3: Cross multiply
   77,901x = 116,719.50 × 116,719.50
4. Step 4: Simplify right side
   77,901x = 13,623,441,680.25
5. Step 5: Solve for x
   x = 13,623,441,680.25/77,901
6. Step 6: Final answer
   x = 174,881.47