Finding the Third Proportional to 78,066 and 183,721.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,066 : 183,721.50 = 183,721.50 : x
2. Step 2: Convert to fraction form
   78,066/183,721.50 = 183,721.50/x
3. Step 3: Cross multiply
   78,066x = 183,721.50 × 183,721.50
4. Step 4: Simplify right side
   78,066x = 33,753,589,562.25
5. Step 5: Solve for x
   x = 33,753,589,562.25/78,066
6. Step 6: Final answer
   x = 432,372.47