Finding the Third Proportional to 202,176 and 314,340.75

Step by Step Solution

1. Step 1: Write the proportion equation
   202,176 : 314,340.75 = 314,340.75 : x
2. Step 2: Convert to fraction form
   202,176/314,340.75 = 314,340.75/x
3. Step 3: Cross multiply
   202,176x = 314,340.75 × 314,340.75
4. Step 4: Simplify right side
   202,176x = 98,810,107,110.56
5. Step 5: Solve for x
   x = 98,810,107,110.56/202,176
6. Step 6: Final answer
   x = 488,733.12