Finding the Third Proportional to 92,824 and 149,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,824 : 149,460.50 = 149,460.50 : x
2. Step 2: Convert to fraction form
   92,824/149,460.50 = 149,460.50/x
3. Step 3: Cross multiply
   92,824x = 149,460.50 × 149,460.50
4. Step 4: Simplify right side
   92,824x = 22,338,441,060.25
5. Step 5: Solve for x
   x = 22,338,441,060.25/92,824
6. Step 6: Final answer
   x = 240,653.72