Finding the Third Proportional to 347,913 and 537,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347,913 : 537,583.50 = 537,583.50 : x
2. Step 2: Convert to fraction form
   347,913/537,583.50 = 537,583.50/x
3. Step 3: Cross multiply
   347,913x = 537,583.50 × 537,583.50
4. Step 4: Simplify right side
   347,913x = 288,996,019,472.25
5. Step 5: Solve for x
   x = 288,996,019,472.25/347,913
6. Step 6: Final answer
   x = 830,656.00