Finding the Third Proportional to 347,558 and 537,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   347,558 : 537,297.50 = 537,297.50 : x
2. Step 2: Convert to fraction form
   347,558/537,297.50 = 537,297.50/x
3. Step 3: Cross multiply
   347,558x = 537,297.50 × 537,297.50
4. Step 4: Simplify right side
   347,558x = 288,688,603,506.25
5. Step 5: Solve for x
   x = 288,688,603,506.25/347,558
6. Step 6: Final answer
   x = 830,619.94