Finding the Third Proportional to 163,461 and 254,878.50

Step by Step Solution

1. Step 1: Write the proportion equation
   163,461 : 254,878.50 = 254,878.50 : x
2. Step 2: Convert to fraction form
   163,461/254,878.50 = 254,878.50/x
3. Step 3: Cross multiply
   163,461x = 254,878.50 × 254,878.50
4. Step 4: Simplify right side
   163,461x = 64,963,049,762.25
5. Step 5: Solve for x
   x = 64,963,049,762.25/163,461
6. Step 6: Final answer
   x = 397,422.32