Finding the Third Proportional to 78,974 and 186,429

Step by Step Solution

1. Step 1: Write the proportion equation
   78,974 : 186,429 = 186,429 : x
2. Step 2: Convert to fraction form
   78,974/186,429 = 186,429/x
3. Step 3: Cross multiply
   78,974x = 186,429 × 186,429
4. Step 4: Simplify right side
   78,974x = 34,755,772,041
5. Step 5: Solve for x
   x = 34,755,772,041/78,974
6. Step 6: Final answer
   x = 440,091.32