Finding the Third Proportional to 68,205 and 148,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,205 : 148,072.50 = 148,072.50 : x
2. Step 2: Convert to fraction form
   68,205/148,072.50 = 148,072.50/x
3. Step 3: Cross multiply
   68,205x = 148,072.50 × 148,072.50
4. Step 4: Simplify right side
   68,205x = 21,925,465,256.25
5. Step 5: Solve for x
   x = 21,925,465,256.25/68,205
6. Step 6: Final answer
   x = 321,464.19