Finding the Third Proportional to 77,130 and 116,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,130 : 116,516.50 = 116,516.50 : x
2. Step 2: Convert to fraction form
   77,130/116,516.50 = 116,516.50/x
3. Step 3: Cross multiply
   77,130x = 116,516.50 × 116,516.50
4. Step 4: Simplify right side
   77,130x = 13,576,094,772.25
5. Step 5: Solve for x
   x = 13,576,094,772.25/77,130
6. Step 6: Final answer
   x = 176,015.75