Finding the Third Proportional to 102,045 and 153,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,045 : 153,172.50 = 153,172.50 : x
2. Step 2: Convert to fraction form
   102,045/153,172.50 = 153,172.50/x
3. Step 3: Cross multiply
   102,045x = 153,172.50 × 153,172.50
4. Step 4: Simplify right side
   102,045x = 23,461,814,756.25
5. Step 5: Solve for x
   x = 23,461,814,756.25/102,045
6. Step 6: Final answer
   x = 229,916.36