Finding the Third Proportional to 58,465 and 85,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,465 : 85,513.50 = 85,513.50 : x
2. Step 2: Convert to fraction form
   58,465/85,513.50 = 85,513.50/x
3. Step 3: Cross multiply
   58,465x = 85,513.50 × 85,513.50
4. Step 4: Simplify right side
   58,465x = 7,312,558,682.25
5. Step 5: Solve for x
   x = 7,312,558,682.25/58,465
6. Step 6: Final answer
   x = 125,075.83