Finding the Third Proportional to 102,054 and 158,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,054 : 158,404.50 = 158,404.50 : x
2. Step 2: Convert to fraction form
   102,054/158,404.50 = 158,404.50/x
3. Step 3: Cross multiply
   102,054x = 158,404.50 × 158,404.50
4. Step 4: Simplify right side
   102,054x = 25,091,985,620.25
5. Step 5: Solve for x
   x = 25,091,985,620.25/102,054
6. Step 6: Final answer
   x = 245,869.69