Finding the Third Proportional to 341,592 and 510,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,592 : 510,505.50 = 510,505.50 : x
2. Step 2: Convert to fraction form
   341,592/510,505.50 = 510,505.50/x
3. Step 3: Cross multiply
   341,592x = 510,505.50 × 510,505.50
4. Step 4: Simplify right side
   341,592x = 260,615,865,530.25
5. Step 5: Solve for x
   x = 260,615,865,530.25/341,592
6. Step 6: Final answer
   x = 762,944.87