Finding the Third Proportional to 100,809 and 148,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,809 : 148,914.50 = 148,914.50 : x
2. Step 2: Convert to fraction form
   100,809/148,914.50 = 148,914.50/x
3. Step 3: Cross multiply
   100,809x = 148,914.50 × 148,914.50
4. Step 4: Simplify right side
   100,809x = 22,175,528,310.25
5. Step 5: Solve for x
   x = 22,175,528,310.25/100,809
6. Step 6: Final answer
   x = 219,975.68