Finding the Third Proportional to 295,569 and 468,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,569 : 468,094.50 = 468,094.50 : x
2. Step 2: Convert to fraction form
   295,569/468,094.50 = 468,094.50/x
3. Step 3: Cross multiply
   295,569x = 468,094.50 × 468,094.50
4. Step 4: Simplify right side
   295,569x = 219,112,460,930.25
5. Step 5: Solve for x
   x = 219,112,460,930.25/295,569
6. Step 6: Final answer
   x = 741,324.23