Finding the Third Proportional to 76,190 and 116,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,190 : 116,219.50 = 116,219.50 : x
2. Step 2: Convert to fraction form
   76,190/116,219.50 = 116,219.50/x
3. Step 3: Cross multiply
   76,190x = 116,219.50 × 116,219.50
4. Step 4: Simplify right side
   76,190x = 13,506,972,180.25
5. Step 5: Solve for x
   x = 13,506,972,180.25/76,190
6. Step 6: Final answer
   x = 177,280.12