Finding the Third Proportional to 70,824 and 152,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,824 : 152,173.50 = 152,173.50 : x
2. Step 2: Convert to fraction form
   70,824/152,173.50 = 152,173.50/x
3. Step 3: Cross multiply
   70,824x = 152,173.50 × 152,173.50
4. Step 4: Simplify right side
   70,824x = 23,156,774,102.25
5. Step 5: Solve for x
   x = 23,156,774,102.25/70,824
6. Step 6: Final answer
   x = 326,962.25