Finding the Third Proportional to 103,878 and 155,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,878 : 155,641.50 = 155,641.50 : x
2. Step 2: Convert to fraction form
   103,878/155,641.50 = 155,641.50/x
3. Step 3: Cross multiply
   103,878x = 155,641.50 × 155,641.50
4. Step 4: Simplify right side
   103,878x = 24,224,276,522.25
5. Step 5: Solve for x
   x = 24,224,276,522.25/103,878
6. Step 6: Final answer
   x = 233,199.30