Finding the Third Proportional to 102,333 and 157,873.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,333 : 157,873.50 = 157,873.50 : x
2. Step 2: Convert to fraction form
   102,333/157,873.50 = 157,873.50/x
3. Step 3: Cross multiply
   102,333x = 157,873.50 × 157,873.50
4. Step 4: Simplify right side
   102,333x = 24,924,042,002.25
5. Step 5: Solve for x
   x = 24,924,042,002.25/102,333
6. Step 6: Final answer
   x = 243,558.21