Finding the Third Proportional to 78,423 and 185,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,423 : 185,101.50 = 185,101.50 : x
2. Step 2: Convert to fraction form
   78,423/185,101.50 = 185,101.50/x
3. Step 3: Cross multiply
   78,423x = 185,101.50 × 185,101.50
4. Step 4: Simplify right side
   78,423x = 34,262,565,302.25
5. Step 5: Solve for x
   x = 34,262,565,302.25/78,423
6. Step 6: Final answer
   x = 436,894.35