Finding the Third Proportional to 341,364 and 491,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   341,364 : 491,722.50 = 491,722.50 : x
2. Step 2: Convert to fraction form
   341,364/491,722.50 = 491,722.50/x
3. Step 3: Cross multiply
   341,364x = 491,722.50 × 491,722.50
4. Step 4: Simplify right side
   341,364x = 241,791,017,006.25
5. Step 5: Solve for x
   x = 241,791,017,006.25/341,364
6. Step 6: Final answer
   x = 708,308.48