Finding the Third Proportional to 146,184 and 314,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,184 : 314,926.50 = 314,926.50 : x
2. Step 2: Convert to fraction form
   146,184/314,926.50 = 314,926.50/x
3. Step 3: Cross multiply
   146,184x = 314,926.50 × 314,926.50
4. Step 4: Simplify right side
   146,184x = 99,178,700,402.25
5. Step 5: Solve for x
   x = 99,178,700,402.25/146,184
6. Step 6: Final answer
   x = 678,451.13