Finding the Third Proportional to 71,175 and 145,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,175 : 145,903.50 = 145,903.50 : x
2. Step 2: Convert to fraction form
   71,175/145,903.50 = 145,903.50/x
3. Step 3: Cross multiply
   71,175x = 145,903.50 × 145,903.50
4. Step 4: Simplify right side
   71,175x = 21,287,831,312.25
5. Step 5: Solve for x
   x = 21,287,831,312.25/71,175
6. Step 6: Final answer
   x = 299,091.41