Finding the Third Proportional to 100,819 and 152,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,819 : 152,038.50 = 152,038.50 : x
2. Step 2: Convert to fraction form
   100,819/152,038.50 = 152,038.50/x
3. Step 3: Cross multiply
   100,819x = 152,038.50 × 152,038.50
4. Step 4: Simplify right side
   100,819x = 23,115,705,482.25
5. Step 5: Solve for x
   x = 23,115,705,482.25/100,819
6. Step 6: Final answer
   x = 229,279.26