Finding the Third Proportional to 176,880 and 249,478.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,880 : 249,478.50 = 249,478.50 : x
2. Step 2: Convert to fraction form
   176,880/249,478.50 = 249,478.50/x
3. Step 3: Cross multiply
   176,880x = 249,478.50 × 249,478.50
4. Step 4: Simplify right side
   176,880x = 62,239,521,962.25
5. Step 5: Solve for x
   x = 62,239,521,962.25/176,880
6. Step 6: Final answer
   x = 351,874.28