Finding the Third Proportional to 76,914 and 116,432.16

Step by Step Solution

1. Step 1: Write the proportion equation
   76,914 : 116,432.16 = 116,432.16 : x
2. Step 2: Convert to fraction form
   76,914/116,432.16 = 116,432.16/x
3. Step 3: Cross multiply
   76,914x = 116,432.16 × 116,432.16
4. Step 4: Simplify right side
   76,914x = 13,556,447,009.02
5. Step 5: Solve for x
   x = 13,556,447,009.02/76,914
6. Step 6: Final answer
   x = 176,254.61