Finding the Third Proportional to 102,807 and 161,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,807 : 161,310.50 = 161,310.50 : x
2. Step 2: Convert to fraction form
   102,807/161,310.50 = 161,310.50/x
3. Step 3: Cross multiply
   102,807x = 161,310.50 × 161,310.50
4. Step 4: Simplify right side
   102,807x = 26,021,077,410.25
5. Step 5: Solve for x
   x = 26,021,077,410.25/102,807
6. Step 6: Final answer
   x = 253,106.09