Finding the Third Proportional to 341,583.75 and 510,516

Step by Step Solution

1. Step 1: Write the proportion equation
   341,583.75 : 510,516 = 510,516 : x
2. Step 2: Convert to fraction form
   341,583.75/510,516 = 510,516/x
3. Step 3: Cross multiply
   341,583.75x = 510,516 × 510,516
4. Step 4: Simplify right side
   341,583.75x = 260,626,586,256
5. Step 5: Solve for x
   x = 260,626,586,256/341,583.75
6. Step 6: Final answer
   x = 762,994.69