Finding the Third Proportional to 76,216 and 117,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,216 : 117,551.50 = 117,551.50 : x
2. Step 2: Convert to fraction form
   76,216/117,551.50 = 117,551.50/x
3. Step 3: Cross multiply
   76,216x = 117,551.50 × 117,551.50
4. Step 4: Simplify right side
   76,216x = 13,818,355,152.25
5. Step 5: Solve for x
   x = 13,818,355,152.25/76,216
6. Step 6: Final answer
   x = 181,305.17