Finding the Third Proportional to 78,585 and 120,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,585 : 120,172.50 = 120,172.50 : x
2. Step 2: Convert to fraction form
   78,585/120,172.50 = 120,172.50/x
3. Step 3: Cross multiply
   78,585x = 120,172.50 × 120,172.50
4. Step 4: Simplify right side
   78,585x = 14,441,429,756.25
5. Step 5: Solve for x
   x = 14,441,429,756.25/78,585
6. Step 6: Final answer
   x = 183,768.27