Finding the Third Proportional to 102,501 and 155,826

Step by Step Solution

1. Step 1: Write the proportion equation
   102,501 : 155,826 = 155,826 : x
2. Step 2: Convert to fraction form
   102,501/155,826 = 155,826/x
3. Step 3: Cross multiply
   102,501x = 155,826 × 155,826
4. Step 4: Simplify right side
   102,501x = 24,281,742,276
5. Step 5: Solve for x
   x = 24,281,742,276/102,501
6. Step 6: Final answer
   x = 236,892.74