Finding the Third Proportional to 72,846 and 148,365

Step by Step Solution

1. Step 1: Write the proportion equation
   72,846 : 148,365 = 148,365 : x
2. Step 2: Convert to fraction form
   72,846/148,365 = 148,365/x
3. Step 3: Cross multiply
   72,846x = 148,365 × 148,365
4. Step 4: Simplify right side
   72,846x = 22,012,173,225
5. Step 5: Solve for x
   x = 22,012,173,225/72,846
6. Step 6: Final answer
   x = 302,174.08