Finding the Third Proportional to 102,606 and 155,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,606 : 155,272.50 = 155,272.50 : x
2. Step 2: Convert to fraction form
   102,606/155,272.50 = 155,272.50/x
3. Step 3: Cross multiply
   102,606x = 155,272.50 × 155,272.50
4. Step 4: Simplify right side
   102,606x = 24,109,549,256.25
5. Step 5: Solve for x
   x = 24,109,549,256.25/102,606
6. Step 6: Final answer
   x = 234,972.12