Finding the Third Proportional to 145,401 and 314,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,401 : 314,152.50 = 314,152.50 : x
2. Step 2: Convert to fraction form
   145,401/314,152.50 = 314,152.50/x
3. Step 3: Cross multiply
   145,401x = 314,152.50 × 314,152.50
4. Step 4: Simplify right side
   145,401x = 98,691,793,256.25
5. Step 5: Solve for x
   x = 98,691,793,256.25/145,401
6. Step 6: Final answer
   x = 678,755.95