Finding the Third Proportional to 78,974.50 and 186,432

Step by Step Solution

1. Step 1: Write the proportion equation
   78,974.50 : 186,432 = 186,432 : x
2. Step 2: Convert to fraction form
   78,974.50/186,432 = 186,432/x
3. Step 3: Cross multiply
   78,974.50x = 186,432 × 186,432
4. Step 4: Simplify right side
   78,974.50x = 34,756,890,624
5. Step 5: Solve for x
   x = 34,756,890,624/78,974.50
6. Step 6: Final answer
   x = 440,102.70