Finding the Third Proportional to 78,973 and 186,428

Step by Step Solution

1. Step 1: Write the proportion equation
   78,973 : 186,428 = 186,428 : x
2. Step 2: Convert to fraction form
   78,973/186,428 = 186,428/x
3. Step 3: Cross multiply
   78,973x = 186,428 × 186,428
4. Step 4: Simplify right side
   78,973x = 34,755,399,184
5. Step 5: Solve for x
   x = 34,755,399,184/78,973
6. Step 6: Final answer
   x = 440,092.17