Finding the Third Proportional to 205,696.50 and 312,516

Step by Step Solution

1. Step 1: Write the proportion equation
   205,696.50 : 312,516 = 312,516 : x
2. Step 2: Convert to fraction form
   205,696.50/312,516 = 312,516/x
3. Step 3: Cross multiply
   205,696.50x = 312,516 × 312,516
4. Step 4: Simplify right side
   205,696.50x = 97,666,250,256
5. Step 5: Solve for x
   x = 97,666,250,256/205,696.50
6. Step 6: Final answer
   x = 474,807.55