Finding the Third Proportional to 78,391 and 185,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,391 : 185,017.50 = 185,017.50 : x
2. Step 2: Convert to fraction form
   78,391/185,017.50 = 185,017.50/x
3. Step 3: Cross multiply
   78,391x = 185,017.50 × 185,017.50
4. Step 4: Simplify right side
   78,391x = 34,231,475,306.25
5. Step 5: Solve for x
   x = 34,231,475,306.25/78,391
6. Step 6: Final answer
   x = 436,676.09