Finding the Third Proportional to 76,324 and 116,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,324 : 116,758.50 = 116,758.50 : x
2. Step 2: Convert to fraction form
   76,324/116,758.50 = 116,758.50/x
3. Step 3: Cross multiply
   76,324x = 116,758.50 × 116,758.50
4. Step 4: Simplify right side
   76,324x = 13,632,547,322.25
5. Step 5: Solve for x
   x = 13,632,547,322.25/76,324
6. Step 6: Final answer
   x = 178,614.16