Finding the Third Proportional to 106,526 and 233,095

Step by Step Solution

1. Step 1: Write the proportion equation
   106,526 : 233,095 = 233,095 : x
2. Step 2: Convert to fraction form
   106,526/233,095 = 233,095/x
3. Step 3: Cross multiply
   106,526x = 233,095 × 233,095
4. Step 4: Simplify right side
   106,526x = 54,333,279,025
5. Step 5: Solve for x
   x = 54,333,279,025/106,526
6. Step 6: Final answer
   x = 510,047.12